Basic Math Examples

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$\begin{array}{r} r = & 9 cm \end{array}$

Step 1

The volume of a sphere is equal to

$\frac{4}{3}$ times Pi

$π$ times the radius cubed.

$\frac{4}{3} \cdot π \cdot {(r a d i u s)}^{3}$

Step 2

Substitute the value of the radius

$r = 9$ into the formula to find the volume of the sphere. Pi

$π$ is approximately equal to

$3.14$ .

$\frac{4}{3} \cdot π \cdot 9^{3}$

Step 3

Combine

$\frac{4}{3}$ and

$π$ .

$\frac{4 π}{3} \cdot 9^{3}$

Step 4

Raise

$9$ to the power of

$3$ .

$\frac{4 π}{3} \cdot 729$

Step 5

Cancel the common factor of

$3$ .

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Step 5.1

Factor

$3$ out of

$729$ .

$\frac{4 π}{3} \cdot (3 (243))$

Step 5.2

Cancel the common factor.

$\frac{4 π}{3} \cdot (3 \cdot 243)$

Step 5.3

Rewrite the expression.

$4 π \cdot 243$

Step 6

Multiply

$243$ by

$4$ .

$972 π {(cm)}^{3}$